The Jets will go with undrafted rookie Brady Cook again vs. the Patriots on Sunday. (AP photo)

Brady Cook is getting at least one more start for the New York Jets.

Coach Aaron Glenn announced Monday that the undrafted rookie quarterback will be under center Sunday in the team’s home finale against the AFC East-leading New England Patriots.

It’ll be the third consecutive start for Cook, who spent most of the season on the practice squad before getting an opportunity to play because of injuries to Tyrod Taylor and Justin Fields. The Jets announced Fields was placed on IR on Tuesday.

“I think he’s highly competitive, I think he’s composed, I think he understands our offense,” Glenn said Monday. “Obviously, there’s some things that we have to do better to help him. There’s some things that he has to do better to help himself also.

“But, yeah, I think all those traits that we talked about before are still things that I look forward to seeing with him continue to improve as he continues to get these starts.”

With the Jets 3-12 and playing out the stretch of a lost season, Glenn and his staff want to get an extended look at Cook as they head into the offseason. The team’s biggest question mark is who their quarterback will be moving forward, and Glenn wouldn’t say Cook could potentially be in the mix to be New York’s starter beyond this season.

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Jets’ undrafted rookie Brady Cook will start again at quarterback against the Saints

Jets’ undrafted rookie Brady Cook will start again at quarterback against the Saints

“Well, I really want to focus on what we’re doing now,” Glenn said. “And I want to focus on New England.”

That means Cook has at least one more start, and probably two, to help solidify a spot as a player to move forward with — at least as a suddenly experienced backup.

In a 29-6 loss to the Saints, Cook went 22 of 35 for 188 yards with no touchdowns and one interception — and was sacked eight times.

“All of our hands are involved with some of the mistakes that happened in that game,” Glenn said. “But I thought that he did a really good job at the beginning of the game, managing the game the right way.”

In three games, including the past two starts, Cook has completed 59.8% of his passes (58 of 98) for 527 yards and one touchdown and six interceptions. He has also been sacked a whopping 17 times, a clear indication of how quickly the game is moving for the rookie.

But Cook is making a strong impression on his teammates, on and off the field.

“I feel like everybody in the huddle believes in him,” wide receiver Isaiah Williams said. “And he demands that. I feel like his preparation — every Monday, every Tuesday, he’ll hit up the guys, like, ‘Let’s watch some film together, make sure we’re on the same page.’

“So the biggest thing that stands out when I think of Brady Cook is his leadership and his confidence. And those are two things people can buy into.”

PATRIOTS NOTES

DL Williams returns to practice

Defensive lineman Milton Williams, who has missed over a month with a high ankle sprain, limiting the Patriots run defense, returned to practice on Tuesday and has three weeks to be activated off IR or be forced to remain there for the rest of the season.

“We’ll start his window, see how he responds through the week of practice and go from there,” Patriots coach Mike Vrabel said.

Maye, Gonzalez make Pro Bowl

Patriots QB Drake Maye and cornerback Christian Gonzalez were named to the Pro Bowl Games, which will take place Tuesday, Feb. 3 in San Francisco, during Super Bowl Week. It’s Gonzalez’ first selection, Maye’s second. Maye is the fourth QB in NFL history to begin his career with consecutive Pro Bowl selections.

“It’s a great honor,” Maye said Tuesday, “but like I keep saying, I care about winning. I realize what the Pro Bowl is about, and it’s obviously a great honor. … but like I said, we’ve got some more important games ahead and I’m looking forward to that.”

Farmer placed on IR

The Patriots placed defensive tackle Josh Farmer, injured in Sunday night’s game, on Injured Reserve, and also signed OL Brenden James from the practice squad to the 53-man roster.

Three in concussion protocol

Vrabel confirmed Tuesday that rookie running back TreVeyon Henderson, veteran receiver Kayshon Boutte, and rookie offensive lineman Jared Wilson, all hurt in Sunday night’s Ravens game, are currently in concussion protocol.

JETS NOTES

Fields season is done

Fields, who signed a two-year, $40 million deal — with $30 million guaranteed — with New York in March, was the starter for most of this season until he was benched in favor of Tyrod Taylor last month. Taylor will be the backup Sunday.

Fields, speaking to reporters last Friday for the first time since his injury in practice three weeks ago, said he recently had an MRI on his ailing knee and “they found something, so now we’re at this point.” He added that he had “a nick or a bruise” and said his injury is “more of a week-to-week thing.”

But Fields also said he “of course” would like to play again this season. He was inactive for the Jets’ past three games.

Fields went 2-7 as the Jets’ starter with seven touchdowns and only one interception for 1,259 yards — but had four games during which he threw for under 55 yards, including a season-low 27 in a loss to Buffalo in Week 2.

What’s working for Jets

Special teams. The unit has been a bright spot all season. Nick Folk, the 41-year-old kicker, is 27 of 28 on field goals and 21 of 21 on extra points. Austin McNamara has been a field-flipping punter in his first full NFL season. Williams and Kene Nwangwu have combined for three return TDs this season and are always a threat to score when teams actually kick to them.

What needs help for Jets

Third-down offense. The Jets went 2 for 15 on third down against the Saints, a dismal showing that largely contributed to New York getting only 195 total yards of offense. For the season, the Jets are 27th in the NFL in third-down conversion percentage at 35%.

Stock up

LB Jamien Sherwood. The Jets signed Sherwood to a three-year, $45 million contract extension in the offseason and he was voted a team captain. But he has not had as productive a season as expected in a new defensive scheme. Sherwood had his best game of the season Sunday under interim defensive coordinator Chris Harris, who took over last week for the fired Steve Wilks. Sherwood tied Quincy Williams for the team lead with 11 tackles and added a sack, two tackles for loss and a quarterback pressure.

Stock down

LG John Simpson. The veteran offensive lineman had two penalties against the Saints, including a chop block late in the first quarter that wiped out a 4-yard scramble by Cook for a first down on third-and-1. Simpson, scheduled to be a free agent, has 11 accepted penalties this season, tied for second most in the NFL behind Chicago offensive tackle Darnell Wright’s 12.

Key number

15 — The Jets have gone 15 games without an interception, the longest such drought in NFL history. By not getting one at New Orleans, New York broke a tie with San Francisco, which ended their 14-game drought earlier this season.

(Telegraph Staff Writer Tom King and the Associated Press contributed to this report.)